You are here

Climate Data

Hurrell North Atlantic Oscillation (NAO) Index (PC-based)

The principal component (PC)-based indices of the North Atlantic Oscillation (NAO) are the time series of the leading Empirical Orthogonal Function (EOF) of SLP anomalies over the Atlantic sector, 20°-80°N, 90°W-40°E. These indices are used to measure the NAO throughout the year, tracking the seasonal movements of the Icelandic low and Azores high. These movements are illustrated in the Figures on this page. Positive values of the NAO index are typically associated with stronger-than-average westerlies over the middle latitudes, more intense weather systems over the North Atlantic and wetter/milder weather over western Europe.

Key Strengths:

PC-based indices are more optimal representations of the full spatial patterns of the NAO

May be less noisy than station-based indices

Key Limitations:

Not available as far back as station-based indices

Dependent on any inherent weaknesses in the source data set and its gridding scheme

Expert Developer Guidance

Since there is no unique way to define the spatial structure of the NAO, it follows that there is no universally accepted index to describe the temporal evolution of the phenomenon. Most modern NAO indices are derived either from the simple difference in surface pressure anomalies between various northern and southern locations, or from the PC time series of the leading (usually regional) EOF of sea level pressure (SLP). Many examples of the former exist, usually based on instrumental records from individual stations near the NAO centers of action, but sometimes from gridded SLP analyses. A major advantage of most of these indices is their extension back to the mid-19th century or earlier.

A disadvantage of station-based indices is that they are fixed in space. Given the movement of the NAO centers of action through the annual cycle, such indices can only adequately capture NAO variability for parts of the year. Moreover, individual station pressures are significantly affected by small-scale and transient meteorological phenomena not related to the NAO and, thus, contain noise.

An advantage of the PC time series approach is that such indices are more optimal representations of the full NAO spatial pattern; yet, as they are based on gridded SLP data, they can only be computed for parts of the 20th century, depending on the data source.

For a more detailed discussion of issues related to the NAO indices and related indices such as the Northern Annular Mode (NAM) and Arctic Oscillation (AO), see Hurrell and Deser (2009) and Hurrell et. al (2003), linked in Key Publications 2 and 3 below.

- James Hurrell, NCAR

Technical Notes

The PC-based NAO indices produced by NCAR's Climate Analysis Section are based on Hurrell (2003), cited below. They are currently offerred as ascii text files for winter, monthly, seasonal, and annual values. As is the nature of PC-based indices, every time additional data is used to compute the EOF the individual PC values will likely change. It is thus recommended that one downloads an entire climate index each time they wish to update their holdings.

Citation:

Notes:

As is the nature of PC-based indices, every time additional data is used to compute the EOF the individual PC values will likely change. It is thus recommended that one downloads an entire climate index each time they wish to update their holdings.

Citation:

Notes:

As is the nature of PC-based indices, every time additional data is used to compute the EOF the individual PC values will likely change. It is thus recommended that one downloads an entire climate index each time they wish to update their holdings.

Citation:

Notes:

As is the nature of PC-based indices, every time additional data is used to compute the EOF the individual PC values will likely change. It is thus recommended that one downloads an entire climate index each time they wish to update their holdings.

The DJFM PC index value for year N refers to an average of December year N-1 and January, February, and March year N SLP values prior to the EOF calculation. (Example: The 1999 PC value was based on the average of December 1998 and January, February, and March 1999 SLP values.)

Citation:

Notes:

As is the nature of PC-based indices, every time additional data is used to compute the EOF the individual PC values will likely change. It is thus recommended that one downloads an entire climate index each time they wish to update their holdings.

Citation:

Notes:

As is the nature of PC-based indices, every time additional data is used to compute the EOF the individual PC values will likely change. It is thus recommended that one downloads an entire climate index each time they wish to update their holdings.

Citation:

Notes:

As is the nature of PC-based indices, every time additional data is used to compute the EOF the individual PC values will likely change. It is thus recommended that one downloads an entire climate index each time they wish to update their holdings.

The first column is the year, the second column holds January values, the third holds February values, etc., and the last column holds December values.

Citation:

Notes:

As is the nature of PC-based indices, every time additional data is used to compute the EOF the individual PC values will likely change. It is thus recommended that one downloads an entire climate index each time they wish to update their holdings.

Trenberth, K.E., and J.W. Hurrell, James W., 1999: Comment on:"The Interpretation of Short Climate Records with Comments on the North Atlantic and Southern Oscillations". Bulletin of the American Meteorological Society: Vol. 80, No. 12, pp.2721-2722

Key Figures

Click the thumbnails to view larger sizes

Thumbnails

Captions

The principal component (PC) time series of the leading EOF of DJFM SLP anomalies over the Atlantic sector (20-80N, 90W-40E) serves as an alternative index (see Hurrell (2003) and Hurrell (1995) below). The DJFM PC timeseries is shown below in color, and the station based index is given by the thick black line. The correlation between the two is 0.93 over the period 1899-2018. The black dots on the EOF panel show the location of the stations used in the DJFM station-based index. (Climate Data Guide; A. Phillips)

The principal component (PC) time series of the leading EOF of DJF SLP anomalies over the Atlantic sector (20-80N, 90W-40E) serves as an alternative index (see Hurrell (2003) and Hurrell (1995) below). The DJF PC timeseries is shown below in color, and the station based index is given by the thick black line. The correlation between the two is 0.88 over the period 1899-2018. The black dots on the EOF panel show the location of the stations used in the DJF station-based index. (Climate Data Guide; A. Phillips)

he principal component (PC) time series of the leading EOF of MAM SLP anomalies over the Atlantic sector (20-80N, 90W-40E) serves as an alternative index (see Hurrell (2003) and Hurrell (1995) below). The MAM PC timeseries is shown below in color, and the station based index is given by the thick black line. The correlation between the two is 0.9 over the period 1899-2018. The black dots on the EOF panel show the location of the stations used in the MAM station-based index. (Climate Data Guide; A. Phillips)

The principal component (PC) time series of the leading EOF of JJA SLP anomalies over the Atlantic sector (20-80N, 90W-40E) serves as an alternative index (see Hurrell (2003) and Hurrell (1995) below). The JJA PC timeseries is shown below in color, and the station based index is given by the thick black line. The correlation between the two is 0.59 over the period 1899-2017. The black dots on the EOF panel show the location of the stations used in the JJA station-based index. (Climate Data Guide; A. Phillips)

The principal component (PC) time series of the leading EOF of SON SLP anomalies over the Atlantic sector (20-80N, 90W-40E) serves as an alternative index (see Hurrell (2003) and Hurrell (1995) below). The SON PC timeseries is shown below in color, and the station based index is given by the thick black line. The correlation between the two is 0.74 over the period 1899-2017. The black dots on the EOF panel show the location of the stations used in the SON station-based index. (Climate Data Guide; A. Phillips)

The principal component (PC) time series of the leading EOF of annual SLP anomalies over the Atlantic sector (20-80N, 90W-40E) serves as an alternative index (see Hurrell (2003) and Hurrell (1995) below). The annual PC timeseries is shown below in color, and the station based index is given by the thick black line. The correlation between the two is 0.91 over the period 1899-2017. The black dots on the EOF panel show the location of the stations used in the annual station-based index. (Climate Data Guide; A. Phillips)

The principal component (PC) time series of the leading EOF of monthly SLP anomalies over the Atlantic sector (20-80N, 90W-40E) serves as an alternative index (see Hurrell (2003) and Hurrell (1995) below). The principal component timeseries is shown below in color, and the station based index is given by the thick black line. The correlation between the two is .81 over the period January 1899 - July 2018. The black dots on the EOF panel show the location of the stations used in the monthly station-based index. (Climate Data Guide; A. Phillips)

Cite this page

National Center for Atmospheric Research Staff (Eds). Last modified 14 May 2019. "The Climate Data Guide: Hurrell North Atlantic Oscillation (NAO) Index (PC-based)." Retrieved from https://climatedataguide.ucar.edu/climate-data/hurrell-north-atlantic-oscillation-nao-index-pc-based.

Acknowledgement of any material taken from this page is appreciated. On behalf of experts who have contributed data, advice, and/or figures, please cite their work as well.

Hurrell North Atlantic Oscillation (NAO) Index (PC-based)

The principal component (PC)-based indices of the North Atlantic Oscillation (NAO) are the time series of the leading Empirical Orthogonal Function (EOF) of SLP anomalies over the Atlantic sector, 20°-80°N, 90°W-40°E. These indices are used to measure the NAO throughout the year, tracking the seasonal movements of the Icelandic low and Azores high. These movements are illustrated in the Figures on this page. Positive values of the NAO index are typically associated with stronger-than-average westerlies over the middle latitudes, more intense weather systems over the North Atlantic and wetter/milder weather over western Europe.

The National Center for Atmospheric Research is sponsored by the National Science Foundation. Any opinions, findings and conclusions or recommendations expressed in this material do not necessarily reflect the views of the National Science Foundation.